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NCERT Class 12- Mathematics: Chapter β 2 Inverse Trigonometric Function Part 3
Long Answer (L. A.)
Question 13:
Prove that
Answer:
Let then
Thus
Therefore,
Question 14:
Prove that
Answer:
We have
Question 15:
Which is greater,
Answer:
From Fig. 2.1, we note that tan is an increasing function in the interval This gives
Question 16:
Find the value of
Answer:
Let and so that and .
Therefore,
Question 17:
Solve for
Answer:
From given equation, we have